Question

SOS PLEASE HELP WITH THIS QUESTION A 6 petal flower separates this circle into 6 equal sections. See diagram below.

A. How far away in cm and degrees is petal A from petal B?

Answer 1

Part 1) The distance between petal A and petal B is 60 degrees

Part 2) The distance between petal A and petal B is 27.21 centimeters

Explanation:

Part 1) How far away in degrees is petal A from petal B?

we know that

The circle subtends a central angle of 360 degrees

so

Divide 360 by 6 (the number of petals)

`(360^o)/(6)=60^o`

so

The central angle between petal A and petal B is 60 degrees

therefore

The distance between petal A and petal B is 60 degrees

Part 2) How far away in cm is petal A from petal B?

step 1

Find the circumference of the circle

`C=2\pi r`

we have

`r=26\ cm`

substitute

`C=2\pi (26)=52 \pi\ cm`

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find the length of an arc by a central angle of 60 degrees

assume

`\pi=3.14`

`(52\pi )/(360^o)=(x)/(60^o)\\\\x=52(3.14)(60)/360\\\\x= 27.21\ cm`